13965216 has 24 divisors (see below), whose sum is σ = 36658944. Its totient is φ = 4655040.

The previous prime is 13965197. The next prime is 13965229. The reversal of 13965216 is 61256931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72640 + ... + 72831.

It is an arithmetic number, because the mean of its divisors is an integer number (1527456).

Almost surely, 2^13965216 is an apocalyptic number.

13965216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13965216 is an abundant number, since it is smaller than the sum of its proper divisors (22693728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13965216 is a wasteful number, since it uses less digits than its factorization.

13965216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145484 (or 145476 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 13965216 is about 3737.0062884614. The cubic root of 13965216 is about 240.8144551905.

The spelling of 13965216 in words is "thirteen million, nine hundred sixty-five thousand, two hundred sixteen".